Corticotomy is a technique presumed as useful to decrease the time for orthodontic treatment, however, it is necessary to do a systematic review in order to determine if there is enough scientific evidence to back up the use of Corticotomy to accelerate the treatment. Data was stockpiled from the electronic database such as PubMed, Cochrane, Scopus y Science Direct, according to the PRISMA linings for systematic reviews, using the following keywords: accelerated movement of the teeth AND osteotomy AND piezocision AND corticotomy AND orthodontics. Only English, Spanish and French language articles that met the criteria needed were included. In the different accelerated orthodontics techniques, a significant reduction in the total time of orthodontic treatment was obtained. There were no major complications reported in any study. The less invasive procedures had better acceptance. The surgical approaches are not only limited to usual orthodontic treatments, but they have also been used as an alternative for the approach of a palatal fistula in a patient with bilateral cleft lip and palatine orofaciodigital syndrome Type I. There has been a growing interest in the use of alveolar corticotomies as an adjunct to orthodontic treatment, due to a deeper understanding of its effects and a more robust investigation based on the evidence. All published results indicate a decrease in the total treatment time.